Farmer wants to dig a well either in the form of a cuboiducal shape of dimension of 1.5m × 1.5m ×27 or in a cylindrical shape of a radius 75cm and height 7m. The rate of digging the well is rupees 75/m3. farmer decides to take the cylindrical form of well.
a) calculate the cost to dig the well in both cases.
b)by the decision,what value is depicted by the farmer?
Answers
Answer:
Given,
Dimensions of cuboidal well
Lenth of the well (l)= 1.5 m
Breadth of the well(b) = 1.5 m
Height of the well(h)= 7 m
Dimensions of cuboidal well
Radius of cylindrical well (r)= 0.75m
Height of the cylindrical well(H)= 7m
Now,
(i)Volume of the cuboidal well = L×B×H
= 1.5×1.5×7
= 15.75 m³
Now,
Volume of cylindrical well = πr²h
= π×0.75×0.75 × 7
= 12.37 m³
Therefore,
Cost of digging of cuboidal well at the rate of ₹75/m³
= ₹75×15.75 = ₹ 1181.25
Cost of digging of cylindrical well at the rate of ₹75/m³
= ₹75×12.37 = ₹ 927.75
(ii)Choosing to dig a cylindrical well as compared to cuboidal well by farmer, shows that Farmer wants to reduce his labour work and Cost of digging.
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